<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-4723599950712048235</id><updated>2024-10-25T07:31:10.470+05:30</updated><category term="Flowchart"/><title type='text'>Technology Blog</title><subtitle type='html'>We are going to discuss about new Tecnologies being used Kindly Let me Know wat u wanna know about</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://dhavalparekh123.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://dhavalparekh123.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14851002220240209301</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>4</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-4723599950712048235.post-8873849713052571312</id><published>2012-10-26T13:51:00.001+05:30</published><updated>2012-10-26T13:51:31.021+05:30</updated><title type='text'>Worst Case Best Case and Average Case of Algortihms</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
Over here we will have a look at algorithms and cases which are required for us to understand it. it is basically the performance of the algortihms kindly go through it&lt;br /&gt;
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for further clarification u may go to wikipedia links given in this table&lt;br /&gt;
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&lt;table class=&quot;wikitable sortable jquery-tablesorter&quot; jquery18205728333760195916=&quot;249&quot;&gt;&lt;thead&gt;
&lt;tr&gt;&lt;th class=&quot;headerSort&quot; column=&quot;0&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;250&quot; order=&quot;0&quot; title=&quot;Sort ascending&quot;&gt;Name&lt;/th&gt;&lt;th class=&quot;headerSort&quot; column=&quot;1&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;252&quot; order=&quot;0&quot; title=&quot;Sort ascending&quot;&gt;Best&lt;/th&gt;&lt;th class=&quot;headerSort&quot; column=&quot;2&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;253&quot; order=&quot;0&quot; title=&quot;Sort ascending&quot;&gt;Average&lt;/th&gt;&lt;th class=&quot;headerSort&quot; column=&quot;3&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;254&quot; order=&quot;0&quot; title=&quot;Sort ascending&quot;&gt;Worst&lt;/th&gt;&lt;th class=&quot;headerSort&quot; column=&quot;4&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;255&quot; order=&quot;0&quot; title=&quot;Sort ascending&quot;&gt;Memory&lt;/th&gt;&lt;th class=&quot;headerSort&quot; column=&quot;5&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;256&quot; order=&quot;0&quot; title=&quot;Sort ascending&quot;&gt;Stable&lt;/th&gt;&lt;th class=&quot;headerSort&quot; column=&quot;6&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;257&quot; order=&quot;0&quot; title=&quot;Sort ascending&quot;&gt;Method&lt;/th&gt;&lt;th class=&quot;headerSort&quot; column=&quot;7&quot; count=&quot;0&quot; jquery18205728333760195916=&quot;258&quot; order=&quot;0&quot; style=&quot;width: 350px;&quot; title=&quot;Sort ascending&quot;&gt;Other notes&lt;/th&gt;&lt;/tr&gt;
&lt;/thead&gt;&lt;tbody&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Quicksort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;05 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/c/b/6cb491fdb945b8302ee86cee3dd1251d.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffffdd;&quot;&gt;Depends&lt;/td&gt;&lt;td&gt;Partitioning&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Quicksort is usually done in place with O(log(&lt;i&gt;n&lt;/i&gt;)) stack space.&lt;sup class=&quot;Template-Fact&quot; style=&quot;white-space: nowrap;&quot;&gt;[&lt;i&gt;&lt;span title=&quot;This claim needs references to reliable sources from December 2010&quot;&gt;citation needed&lt;/span&gt;&lt;/i&gt;]&lt;/sup&gt; Most implementations are unstable, as stable in-place partitioning is more complex. Naïve variants use an O(&lt;i&gt;n&lt;/i&gt;) space array to store the partition.&lt;sup class=&quot;Template-Fact&quot; style=&quot;white-space: nowrap;&quot;&gt;[&lt;i&gt;&lt;span title=&quot;This claim needs references to reliable sources from December 2010&quot;&gt;citation needed&lt;/span&gt;&lt;/i&gt;]&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Merge sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;Depends; worst case is &lt;img alt=&quot; \mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Merging&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Merge_sort#Parallel_processing&quot; title=&quot;Merge sort&quot;&gt;Highly parallelizable&lt;/a&gt; (up to O(log(&lt;i&gt;n&lt;/i&gt;))) for processing large amounts of data.&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td style=&quot;white-space: nowrap;&quot;&gt;&amp;nbsp;Merge sort&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} - &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/2/6/5/26563ee183e4115c5034751a91201707.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} - &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/2/6/5/26563ee183e4115c5034751a91201707.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;23 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {n \left( \log n \right)^2} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/b/9/eb9a7c65d0a023cc8c86466b2332a19b.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Merging&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Implemented in Standard Template Library (STL);&lt;sup class=&quot;reference&quot; id=&quot;cite_ref-1&quot; jquery18205728333760195916=&quot;16&quot;&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Sorting_algorithm#cite_note-1&quot;&gt;&lt;span&gt;[&lt;/span&gt;2&lt;span&gt;]&lt;/span&gt;&lt;/a&gt;&lt;/sup&gt; can be implemented as a stable sort based on stable in-place merging.&lt;sup class=&quot;reference&quot; id=&quot;cite_ref-2&quot; jquery18205728333760195916=&quot;19&quot;&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Sorting_algorithm#cite_note-2&quot;&gt;&lt;span&gt;[&lt;/span&gt;3&lt;span&gt;]&lt;/span&gt;&lt;/a&gt;&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Heapsort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Selection&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Insertion sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Insertion&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;O(&lt;i&gt;n&lt;/i&gt; + &lt;i&gt;d&lt;/i&gt;), where &lt;i&gt;d&lt;/i&gt; is the number of &lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Permutation_groups#Transpositions.2C_simple_transpositions.2C_inversions_and_sorting&quot; title=&quot;Permutation groups&quot;&gt;inversions&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Introsort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;05 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/c/b/6cb491fdb945b8302ee86cee3dd1251d.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Partitioning &amp;amp; Selection&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Used in &lt;a href=&quot;http://en.wikipedia.org/wiki/Silicon_Graphics&quot; title=&quot;Silicon Graphics&quot;&gt;SGI&lt;/a&gt; &lt;a href=&quot;http://en.wikipedia.org/wiki/Standard_Template_Library&quot; title=&quot;Standard Template Library&quot;&gt;STL&lt;/a&gt; implementations&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Selection sort&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffffdd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Selection&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Stable with O(n) extra space, for example using lists.&lt;sup class=&quot;reference&quot; id=&quot;cite_ref-3&quot; jquery18205728333760195916=&quot;22&quot;&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Sorting_algorithm#cite_note-3&quot;&gt;&lt;span&gt;[&lt;/span&gt;4&lt;span&gt;]&lt;/span&gt;&lt;/a&gt;&lt;/sup&gt; Used to sort this table in Safari or other Webkit web browser.&lt;sup class=&quot;reference&quot; id=&quot;cite_ref-4&quot; jquery18205728333760195916=&quot;25&quot;&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Sorting_algorithm#cite_note-4&quot;&gt;&lt;span&gt;[&lt;/span&gt;5&lt;span&gt;]&lt;/span&gt;&lt;/a&gt;&lt;/sup&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Timsort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/4/6f4a6def0e0a5f696a61993faab0e730.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Insertion &amp;amp; Merging&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;img alt=&quot;\mathcal{} {n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/4/6f4a6def0e0a5f696a61993faab0e730.png&quot; /&gt; comparisons when the data is already sorted or reverse sorted.&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Shell sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;23 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n (\log n)^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/2/e/e/2ee1bd5254e0ad3a1e6fab5c71ff98bb.png&quot; /&gt;&lt;br /&gt;&lt;br /&gt;or&lt;br /&gt;&lt;br /&gt;&lt;img alt=&quot;\mathcal{} n^{3/2}&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/0/8/9/0897b312ab483c32e46ed079770c4eef.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;23 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;Depends on gap sequence; best known is &lt;img alt=&quot;\mathcal{} n (\log n)^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/2/e/e/2ee1bd5254e0ad3a1e6fab5c71ff98bb.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} 1&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/0/7/6/076b4b72cf4d85f2be324ef6a7648191.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Insertion&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Bubble sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {1}&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Exchanging&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Tiny code size&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Binary tree sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Insertion&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;When using a &lt;a href=&quot;http://en.wikipedia.org/wiki/Self-balancing_binary_search_tree&quot; title=&quot;Self-balancing binary search tree&quot;&gt;self-balancing binary search tree&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Cycle sort&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;—&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Insertion&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;In-place with theoretically optimal number of writes&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Library sort&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;—&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Insertion&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Patience sorting&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;—&lt;/span&gt;&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;—&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Insertion &amp;amp; Selection&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Finds all the longest increasing subsequences within O(&lt;i&gt;n&lt;/i&gt; log &lt;i&gt;n&lt;/i&gt;)&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Smoothsort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/4/6f4a6def0e0a5f696a61993faab0e730.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Selection&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;An adaptive sort - &lt;img alt=&quot;\mathcal{} {n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/4/6f4a6def0e0a5f696a61993faab0e730.png&quot; /&gt; comparisons when the data is already sorted, and 0 swaps.&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Strand sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Selection&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Tournament sort&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;—&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td&gt;&lt;/td&gt;&lt;td&gt;&lt;/td&gt;&lt;td&gt;Selection&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Cocktail sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n^2&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Exchanging&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Comb sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot;\mathcal{} n \log n&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Exchanging&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Small code size&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Gnome sort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;25 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n^2 &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/f/7/9/f796c95c9a5861a82cc9b100d55ca1bf.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;Exchanging&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Tiny code size&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;Bogosort&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;15 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/5/4/d/54dc3b2d1109987ebf40f3030131b8e5.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;45 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n \cdot n! &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/8/a/f/8af21940f9bf4c3beca14be376b2cca4.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;45 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {n \cdot n! \to \infty} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/8/1/7/81725c85f7a55bc169116c570bd2b994.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ffdddd;&quot;&gt;No&lt;/td&gt;&lt;td&gt;Luck&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;Randomly permute the array and check if sorted.&lt;/td&gt;&lt;/tr&gt;
&lt;tr style=&quot;text-align: center;&quot;&gt;&lt;td&gt;&lt;sup class=&quot;reference&quot; id=&quot;cite_ref-5&quot; jquery18205728333760195916=&quot;28&quot;&gt;&lt;span&gt;[&lt;/span&gt;6&lt;span&gt;]&lt;/span&gt;&lt;/sup&gt;&lt;/td&gt;&lt;td&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;50 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} - &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/2/6/5/26563ee183e4115c5034751a91201707.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} n \log n &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/6/f/3/6f38fe693472428c2c1501464ab5ab21.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;20 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {n \log n} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/e/7/7/e77b5ed931024aad214cb62dbefe6561.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;&lt;span class=&quot;sortkey&quot; style=&quot;display: none;&quot;&gt;00 !&lt;/span&gt;&lt;span class=&quot;sorttext&quot;&gt;&lt;img alt=&quot; \mathcal{} {1} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/9/8/2/98260708f1a03fccec00f607e8c0fe28.png&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;td style=&quot;background: #ddffdd;&quot;&gt;Yes&lt;/td&gt;&lt;td&gt;&lt;/td&gt;&lt;td style=&quot;text-align: left;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Just go through the Algos in your Book or on wikipedia&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://dhavalparekh123.blogspot.com/feeds/8873849713052571312/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://dhavalparekh123.blogspot.com/2012/10/worst-case-best-case-and-average-case.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/8873849713052571312'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/8873849713052571312'/><link rel='alternate' type='text/html' href='http://dhavalparekh123.blogspot.com/2012/10/worst-case-best-case-and-average-case.html' title='Worst Case Best Case and Average Case of Algortihms'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14851002220240209301</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4723599950712048235.post-3079342863365926871</id><published>2011-04-04T00:54:00.000+05:30</published><updated>2011-04-04T00:54:07.561+05:30</updated><title type='text'>Pure Object Oriented Language Java</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;Java Programming is better then any other Programming Language coz its Support for OOp is better then any other Language the Point which says That Java dont support all the Concepts of JAVA is actually Made coz JAVA was meant by keeping in Mind that if that points are supported then this would make problems with the programs which makes use of this concepts as they would manipulate the law of encapsulation say operator overloading:&lt;br /&gt;
it can be used for other purpose without changing the basic meaning of the operator but this can hinder hte security of data as this operaotr can manipulate the classes in whichi they are made.&lt;br /&gt;
Complete Inheritance is not supported Specially Multiple inheritance but it can be achieved using simple without use of Interfaces. bocz the concept of inheritance says that u cna call objects of the Super class&lt;br /&gt;
&amp;nbsp;so grandchild can also call grandfather if nothing is specified like private or protected&lt;br /&gt;
&lt;br /&gt;
ava alxo helps&amp;nbsp; us to make our concepts clear Like Overriding&lt;br /&gt;
&lt;br /&gt;
Plus Primitive Data types have Wrapper classes which internally makes objects of each&amp;nbsp; of the primitive data type so saying Java Supports Primitive data type means it is not an OOL would be unfair to JAVA. &lt;br /&gt;
Java Dont allow its objects to go out of its environment unless it is forced to do so which is biggest strength of java. so as per my View Java Is completely OOP language&lt;br /&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://dhavalparekh123.blogspot.com/feeds/3079342863365926871/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://dhavalparekh123.blogspot.com/2011/04/pure-object-oriented-language-java.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/3079342863365926871'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/3079342863365926871'/><link rel='alternate' type='text/html' href='http://dhavalparekh123.blogspot.com/2011/04/pure-object-oriented-language-java.html' title='Pure Object Oriented Language Java'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14851002220240209301</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4723599950712048235.post-8169748987035313516</id><published>2011-01-07T11:15:00.000+05:30</published><updated>2011-01-07T11:15:38.266+05:30</updated><category scheme="http://www.blogger.com/atom/ns#" term="Flowchart"/><title type='text'>Logic Development</title><content type='html'>For Logic Development the most essential thing is flowchart to develop flowchart u need some flow chart components n those components are attached in a file below&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvPlUpkKyLG1KaYLUhOV80XN_EaV4K_ue3vJWn5itmf5SwK8bGk5uiquy_-Y7t9S8PsGpz-T88Az2O_UFWmaOgRKjSmeE3LXipN_ofSUYcO7NDWtbWx7Irk-B0GBh0yX1gkNsYiTdJ-2tL/s1600/flowchart.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;293&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvPlUpkKyLG1KaYLUhOV80XN_EaV4K_ue3vJWn5itmf5SwK8bGk5uiquy_-Y7t9S8PsGpz-T88Az2O_UFWmaOgRKjSmeE3LXipN_ofSUYcO7NDWtbWx7Irk-B0GBh0yX1gkNsYiTdJ-2tL/s320/flowchart.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
this are the symbols with which u can develop a flowchart. it can show u how ur program will flow it also supports dry run which helps u in finding output. now suppose u r calling in a call center then they will ask for your name n company name n then pass to sales department if we want information on some products or something. if the issue is related to shipping then to shipping department. &amp;nbsp;if the problem is not solved then the call is passed to the help desk. now we will see how this flow chart is made.&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTb0FwJcfI4afhVHzcOj5-DB1b-Zf3CH3y3NW8oKXXqbsww7S6aceKJmnZsFaYJoMmKDlgTfU2dnZf6VocGlCPtjk1auMnltS0n0XcmKqxtRbgCjkHW5ilWh2A_zL8gPCBFbZnNvO8bwbJ/s1600/FlowChart.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTb0FwJcfI4afhVHzcOj5-DB1b-Zf3CH3y3NW8oKXXqbsww7S6aceKJmnZsFaYJoMmKDlgTfU2dnZf6VocGlCPtjk1auMnltS0n0XcmKqxtRbgCjkHW5ilWh2A_zL8gPCBFbZnNvO8bwbJ/s320/FlowChart.png&quot; width=&quot;224&quot; /&gt;&lt;/a&gt;&lt;/div&gt;this flow chart shows how our call is passed when we call at customer care from our phones.&lt;br /&gt;
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for queries post comments over here or mail me from mail option.</content><link rel='replies' type='application/atom+xml' href='http://dhavalparekh123.blogspot.com/feeds/8169748987035313516/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://dhavalparekh123.blogspot.com/2011/01/logic-development.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/8169748987035313516'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/8169748987035313516'/><link rel='alternate' type='text/html' href='http://dhavalparekh123.blogspot.com/2011/01/logic-development.html' title='Logic Development'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14851002220240209301</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvPlUpkKyLG1KaYLUhOV80XN_EaV4K_ue3vJWn5itmf5SwK8bGk5uiquy_-Y7t9S8PsGpz-T88Az2O_UFWmaOgRKjSmeE3LXipN_ofSUYcO7NDWtbWx7Irk-B0GBh0yX1gkNsYiTdJ-2tL/s72-c/flowchart.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4723599950712048235.post-3255105603151628980</id><published>2010-12-30T00:05:00.000+05:30</published><updated>2010-12-30T00:06:28.061+05:30</updated><title type='text'>C Programming tips</title><content type='html'>For C programmers who have just started please be sure to keep ur logics properly unless u are good at logic u cannot code your program properly.&lt;br /&gt;
any difficulty just post a reply over here soon u will have some programs on this blog</content><link rel='replies' type='application/atom+xml' href='http://dhavalparekh123.blogspot.com/feeds/3255105603151628980/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://dhavalparekh123.blogspot.com/2010/12/c-programming.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/3255105603151628980'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4723599950712048235/posts/default/3255105603151628980'/><link rel='alternate' type='text/html' href='http://dhavalparekh123.blogspot.com/2010/12/c-programming.html' title='C Programming tips'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/14851002220240209301</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry></feed>